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Finding the Fourth Proportional to 3,422.94, 5,135.37 and 1,114.62

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Solution

The fourth proportional to 3,422.94, 5,135.37 and 1,114.62 is: 1,672.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.94 : 5,135.37 = 1,114.62 : x
  2. Step 2: Convert to fraction form
    3,422.94/5,135.37 = 1,114.62/x
  3. Step 3: Cross multiply
    3,422.94x = 5,135.37 × 1,114.62
  4. Step 4: Simplify right side
    3,422.94x = 5,723,986.11
  5. Step 5: Solve for x
    x = 5,723,986.11/3,422.94
  6. Step 6: Final answer
    x = 1,672.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.